Question

A student instead of multiplying 8/9 he divides by 8/9 by mistake. If the difference between the answers is 34 . What is the number.

Answer 1

Answer:

Step-by-step explanation:

Let the number be X

8X/9-9X/8=34

(64X-81X)/72=34

-17X=2448

X= -144

Or if we subtract 8X/9 from 9X/8,

We get X=144

Answer 2

The number is 144.

Given: A student instead of multiplying 8/9, divides by 8/9 by mistake. The difference between the answers is 34.

To Find: The number.

Solution:

Let the given number be 'x'.

If the number was multiplied by 8/9, then = 8x / 9

The number when divided by 8/9 is = x / ( 8/9 ) = 9x / 8

It is said that the difference between the wrong and correct answers is 34.

So, we can frame an equation accordingly;

           ( 9x / 8 ) - ( 8x / 9 ) = 34

       ⇒ ( 81x - 64x ) / 72 = 34

       ⇒  17x = 34 × 72

       ⇒   x = ( 34 × 72 ) / 17

       ⇒   x = 144

Hence, the number is 144.

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Answer 3

The number is 144.

Given:

A student instead of multiplying 8/9 divides by 8/9 by mistake.

The difference between the answers is 34.

To Find:

The original number.

Solution:

Let us assume that the unknown number is 'x'.

A student was supposed to multiply x by 8/9. Hence the original answer = 8x/9.

Instead, he divides x by 8/9. So the answer he obtains = x/(8/9) = 9x/8.

We are given that the difference between the answers is 34.

⇒ 9x/8 - 8x/9 = 34.

⇒ (81x-64x)/72 = 34

⇒ 17x/72 = 34.

⇒ x = 144

∴ The number is 144.

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